Index of notation/R

From Maths
Jump to: navigation, search
Expression Status Meanings See also
[ilmath]\mathbb{R} [/ilmath] current Real numbers
[ilmath]\mathbb{R}_+[/ilmath] dangerous See [ilmath]\mathbb{R}_+[/ilmath] (notation) for details on why this is bad. It's a very ambiguous notation, use [ilmath]\mathbb{R}_{\ge 0} [/ilmath] or [ilmath]\mathbb{R}_{>0} [/ilmath] instead.
  • [ilmath]\mathbb{R}_{\ge 0} [/ilmath]
  • [ilmath]\mathbb{R}_{> 0} [/ilmath]
[ilmath]\mathbb{R}_{\ge 0} [/ilmath] recommended [ilmath]:=\{x\in\mathbb{R}\ \vert\ x\ge 0\}[/ilmath], recommended over the dangerous notation of [ilmath]\mathbb{R}_+[/ilmath], see details there.
  • [ilmath]\mathbb{R}_+[/ilmath]
  • [ilmath]\mathbb{R}_{>0} [/ilmath]
[ilmath]\mathbb{R}_{>0} [/ilmath] recommended [ilmath]:=\{x\in\mathbb{R}\ \vert\ x>0[/ilmath], recommended over the dangerous notation of [ilmath]\mathbb{R}_+[/ilmath], see details there.
  • [ilmath]\mathbb{R}_+[/ilmath]
  • [ilmath]\mathbb{R}_{\ge 0} [/ilmath]
[ilmath]\mathbb{R}_{\le x},\ \mathbb{R}_{\ge x} [/ilmath], so forth recommended Recommended notations for rays of the real line. See Denoting commonly used subsets of [ilmath]\mathbb{R} [/ilmath]
  • [ilmath]\mathbb{R}_+[/ilmath]